BE1401
Business	Operations	and	Processes	
                          Exercises	on	Process	Setups		
1.	Auto	Parts	Manufacturing		
A	company	specializing	in	auto	parts	manufacturing	produces,	among	other	items,	two	
parts:	 	 A	 and	 B.	 	 Given	 the	 tolerance	 requirements	 of	 A	 and	 B,	 the	 parts	 are	 produced	
using	 a	 special	 purpose	 machine	 operated	 by	 a	 skilled	 machinist.	 	 Presently,	 the	
company	 has	 only	 one	 machinist	 capable	 of	 operating	 this	 machine,	 and	 hence	 the	
machine	is	operated	only	on	a	one-shift	basis.		After	allowing	for	factors	such	as	lunch	
break	and	rest	periods,	etc.,	the	machinist	operates	the	machine	for	7	hours	per	day	for	
5	 days	 a	 week.	 	 In	 fabricating	 parts	 A	 and	 B,	 the	 machine	 requires	 a	 set	 up	 time	 of	 4	
hours	 whenever	 switching	 between	 the	 two	 parts	 types.	 	 Once	 the	 machine	 is	
appropriately	set	up,	the	run	time	for	either	part	A	or	for	part	B	is	only	0.01	hour	per	
unit.		Currently,	the	company	rotates	its	production	between	one	batch	of	1000	for	part	
A	and	one	batch	of	1000	for	part	B.		
a)	 The	 company	 has	 recently	 received	 an	 inquiry	 from	 a	 major	 auto	 manufacturer	
    concerning	 the	 company’s	 ability	 to	 supply	 sets	 of	 parts	 A	 and	 B	 (with	 each	 set	
    consisting	of	one	part	A	and	one	part	B)	on	a	long-term	basis.		Specifically,	the	auto	
    manufacturer	 wants	 to	 know	 how	 many	 sets	 per	 day	 can	 the	 company	 supply?		
    Estimate	the	production	capacity	of	the	company	(in	terms	of	sets	per	day).		
b)	 Satisfied	 with	 the	 company’s	 estimate,	 the	 auto	 manufacturer	 has	 agreed	 to	
    purchase	 sets	 of	 parts	 A	 and	 B	 from	 the	 company.	 	 However,	 it	 has	 added	 one	
    condition	 in	 the	 contract:	 the	 company,	 on	 a	 sustained	 basis,	 should	 be	 able	 to	
    supply	sets	of	parts	at	a	rate	10%	more	than	the	rate	it	has	estimated	above.		For	the	
    company	 to	 achieve	 this	 higher	 production	 rate,	 what	 batch	 sizes	 would	 you	
    recommend	for	A	and	for	B?			
c)	 What	 other	 alternate	 actions	 would	 you	 recommend	 that	 the	 company	 evaluate	 to	
    meet	this	condition?	(The	company	has	ruled	out	the	overtime	option.)		What	would	
    be	 the	 potential	 drawbacks	 and	 benefits	 of	 these	 actions?	 (No	 computations	
    pertaining	to	these	alternate	actions	are	required.		A	qualitative	answer	is	adequate.)		
2.	Setups	Everywhere		
Consider	 the	 following	 batch-flow	 process	 consisting	 of	 three	 process	 steps	
performed	by	three	machines:		                                                                                          	
	
	
	               Step	1	                        Step	2	                       Step	3	
	
	
              Activity	                    Activity	                     Activity	
	             Time:	                       Time:	                        Time:	
              0.25	                        0.20	                         0.15	
              min/part	                    min/part	                     min/part	
              	                            	                             	
              Setup	Time:	                 Setup	Time:	                  Setup	Time:	
              30	mins	                     20	mins	                      45	mins	
                                           	                             	
	
	
	
	
	
	
Work	is	processed	in	batches	at	each	step.	Before	a	batch	is	processed	at	a	step,	the	
machine	at	that	step	must	be	set	up.	(During	a	setup,	the	machine	is	unable	to	process	
any	product.)	Assume	that	there	is	a	dedicated	setup	operator	for	each	machine	(i.e.	,	
there	is	always	someone	available	to	perform	a	setup	at	each	machine.)	
	
The	 setup	 times	 for	 these	 three	 steps	 are	 30	 minutes,	 20	 minutes	 and	 32	 minutes	
respectively.	
	
(a) What	 is	 the	 process	 capacity	 if	 the	 batch	 size	 is	 35	 parts?	 Which	 step	 is	 the	
    bottleneck?	
    	
(b) For	what	batch	sizes	is	step	1	the	bottleneck?	Step	2?	Step	3?	
	
	
3.	Metal	Box	Production	
	
Metal	 window	 boxes	 are	 manufactured	 in	 5	 basic	 colors	 in	 a	 small	 plant	 in	 Bangkok.		
The	manufacturing	process	consists	of	3	operations:		stamping,	painting,	and	assembly,	
as	shown	below.	
	
Each	window	box	is	made	up	of	three	pieces:		a	base	(one	part	A)	and	two	sides	(two	
part	Bs).		The	parts	are	fabricated	by	a	single	stamping	machine	which	requires	a	setup	
time	of	100	minutes	whenever	switching	between	the	two	part	types.		Once	the	machine	
is	setup,	the	run	time	for	each	part	A	is	1	minute	while	the	run	time	for	each	part	B	is	
only	30	seconds.		Currently,	the	stamping	machine	rotates	its	production	between	one	
batch	of	300	for	part	A	and	one	batch	of	600	for	part	B.		Completed	parts	move	from	the	
stamping	machine	onto	the	painting	station.	
At	the	painting	station,	parts	are	painted	by	a	robot	in	different	colors.		The	part	A	and	
part	B	components	used	to	assemble	one	final	product	should	be	painted	with	the	same	
color.	 That	 is,	 no	 color	 change	 is	 needed	 in	 a	 pair	 of	 consecutive	 part	 A	 and	 part	 B	
batches.	 The	 robot	 takes	 30	 seconds	 to	 paint	 one	 part	 A	 and	 15	 seconds	 to	 paint	 one	
part	B.		The	robot	can	easily	switch	between	painting	the	two	parts,	but	a	switch	in	color	
does	require	20	minutes	for	setup.	Once	a	piece	is	painted,	it	must	wait	120	minutes	to	
dry	before	moving	to	assembly.	The	painting	robot	is	currently	programmed	to	change	
color	every	time	it	finishes	one	batch	of	300	component	sets	(i.e.,	300	of	part	A	and	600	
of	part	B).	
At	 assembly,	 parts	 of	 the	 same	 color	 are	 assembled	 manually	 to	 form	 the	 finished	
product.		One	base	(part	A)	and	two	sides	(two	part	Bs),	as	well	as	a	number	of	small	
purchased	 components,	 are	 required	 for	 each	 unit	 of	 final	 product.	 	 Each	 product	
requires	2	minutes	of	labor	time	to	assemble.	
The	 factory	 runs	 on	 one	 shift	 per	 day,	 five	 days	 per	 week.	 	 Considering	 the	 need	 for	
lunch	 break,	 rest	 periods,	 etc.,	 each	 operation	 (stamping,	 painting	 and	 assembly)	 is	
effectively	run	for	only	400	minutes	per	shift.			
	
(a)	 Identify	 the	 bottleneck	 for	 the	 current	 process	 and	 calculate	 the	 maximum	 daily	
     throughput	rate	in	terms	of	the	#	of	units	of	finished	products	produced	per	day.		
     What	is	the	throughput	time	for	a	batch	of	300	units	of	finished	products	(i.e.,	from	
     the	time	the	stamping	operation	starts	for	a	batch	to	the	time	the	complete	batch	
     of	300	window	boxes	is	assembled)?	
	
(b)	 What	 impact	 would	 doubling	 the	 batch	 sizes	 at	 the	 stamping	 operation	 have	 on	
     total	 daily	 throughput?	 	 Be	 number	 specific.	 	 Explain	 qualitatively	 what	 other,	
     possibly	negative,	effects	this	would	have.		
	
(c)	 Management	 is	 considering	 investing	 in	 a	 setup	 reduction	 program	 for	 the	
     stamping	machine.		Suppose	the	setup	time	could	be	reduced	to	20	minutes,	with	
     some	additional	investment	cost.		What	would	happen	to	the	throughput	rate	if	the	
     batch	sizes	remained	the	same	(i.e.,	300	for	part	A	and	600	for	part	B)?		Be	number	
     specific.		What	would	be	the	potential	benefits	of	such	a	reduction	in	setup	time	if	
     the	batch	sizes	were	allowed	to	change	(explain	qualitatively)?